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78142303317760 = 2851149911122003
BaseRepresentation
bin10001110001000111101100…
…001110110010111100000000
3101020200022221110210201101021
4101301013230032302330000
540220240414122132020
6434110024545315224
722313411056631563
oct2161075416627400
9336608843721337
1078142303317760
1122997a6806a1a0
128920603335b14
13347aa31427166
1415421715c64da
159079d99a71aa
hex4711ec3b2f00

78142303317760 has 144 divisors (see below), whose sum is σ = 204600385584000. Its totient is φ = 28358435819520.

The previous prime is 78142303317737. The next prime is 78142303317791. The reversal of 78142303317760 is 6771330324187.

It is a super-2 number, since 2×781423033177602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78142303317698 and 78142303317707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464919 + ... + 12586921.

It is an arithmetic number, because the mean of its divisors is an integer number (1420836011000).

Almost surely, 278142303317760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78142303317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102300192792000).

78142303317760 is an abundant number, since it is smaller than the sum of its proper divisors (126458082266240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78142303317760 is a wasteful number, since it uses less digits than its factorization.

78142303317760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122534 (or 11122520 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 78142303317760 in words is "seventy-eight trillion, one hundred forty-two billion, three hundred three million, three hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 499 640 704 880 998 1280 1408 1760 1996 2495 2816 3520 3992 4990 5489 7040 7984 9980 10978 14080 15968 19960 21956 27445 31936 39920 43912 54890 63872 79840 87824 109780 127744 159680 175648 219560 319360 351296 439120 638720 702592 878240 1405184 1756480 3512960 7025920 11122003 22244006 44488012 55610015 88976024 111220030 122342033 177952048 222440060 244684066 355904096 444880120 489368132 611710165 711808192 889760240 978736264 1223420330 1423616384 1779520480 1957472528 2446840660 2847232768 3559040960 3914945056 4893681320 5549879497 7118081920 7829890112 9787362640 11099758994 14236163840 15659780224 19574725280 22199517988 27749397485 31319560448 39149450560 44399035976 55498794970 61048674467 78298901120 88798071952 110997589940 122097348934 156597802240 177596143904 221995179880 244194697868 305243372335 355192287808 443990359760 488389395736 610486744670 710384575616 887980719520 976778791472 1220973489340 1420769151232 1775961439040 1953557582944 2441946978680 3551922878080 3907115165888 4883893957360 7103845756160 7814230331776 9767787914720 15628460663552 19535575829440 39071151658880 78142303317760